메뉴 건너뛰기




Volumn 169, Issue 2, 2001, Pages 503-555

Evolution, Implementation, and Application of Level Set and Fast Marching Methods for Advancing Fronts

Author keywords

[No Author keywords available]

Indexed keywords

SEISMIC DESIGN; STRUCTURAL OPTIMIZATION;

EID: 0037689698     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6657     Document Type: Article
Times cited : (459)

References (107)
  • 1
    • 28144437204 scopus 로고
    • A fast level set method for propagating interfaces
    • Adalsteinsson D., Sethian J. A. A fast level set method for propagating interfaces. J. Comput. Phys. 118:1995;269.
    • (1995) J. Comput. Phys. , vol.118 , pp. 269
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 2
    • 0000020691 scopus 로고
    • A unified level set approach to etching, deposition and lithography I: Algorithms and two-dimensional simulations
    • Adalsteinsson D., Sethian J. A. A unified level set approach to etching, deposition and lithography I: Algorithms and two-dimensional simulations. J. Comput. Phys. 120:1995;128.
    • (1995) J. Comput. Phys. , vol.120 , pp. 128
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 3
    • 0001163571 scopus 로고
    • A unified level set approach to etching, deposition and lithography II: Three-dimensional simulations
    • Adalsteinsson D., Sethian J. A. A unified level set approach to etching, deposition and lithography II: Three-dimensional simulations. J. Comput. Phys. 122:1995;348.
    • (1995) J. Comput. Phys. , vol.122 , pp. 348
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 4
    • 0038873881 scopus 로고    scopus 로고
    • A unified level set approach to etching, deposition and lithography III: Complex simulations and multiple effects
    • Adalsteinsson D., Sethian J. A. A unified level set approach to etching, deposition and lithography III: Complex simulations and multiple effects. J. Comput. Phys. 138:1997;193.
    • (1997) J. Comput. Phys. , vol.138 , pp. 193
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 5
    • 0002108952 scopus 로고    scopus 로고
    • The fast construction of extension velocities in level set methods
    • Adalsteinsson D., Sethian J. A. The fast construction of extension velocities in level set methods. J. Comput. Phys. 148:1999;2.
    • (1999) J. Comput. Phys. , vol.148 , pp. 2
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 6
    • 0001295889 scopus 로고
    • Optimal design for minimum weight and compliance using external microstructures
    • Allaire G., Kohn R. V. Optimal design for minimum weight and compliance using external microstructures. Euro. J. Mech. A /Solids. 12:1993;839.
    • (1993) Euro. J. Mech. A /Solids , vol.12 , pp. 839
    • Allaire, G.1    Kohn, R.V.2
  • 7
    • 0006528348 scopus 로고    scopus 로고
    • Level set approach to mean curvature flow in arbitrary co-dimension
    • Ambrosio L., Soner H. M. Level set approach to mean curvature flow in arbitrary co-dimension. J. Diff. Geom. 43:1996;693.
    • (1996) J. Diff. Geom , vol.43 , pp. 693
    • Ambrosio, L.1    Soner, H.M.2
  • 10
    • 16144366400 scopus 로고    scopus 로고
    • Level set methods applied to modeling detonation shock dynamics
    • Aslam T., Bzdil J., Stewart D. Level set methods applied to modeling detonation shock dynamics. J. Comput. Phys. 126:1996;390.
    • (1996) J. Comput. Phys. , vol.126 , pp. 390
    • Aslam, T.1    Bzdil, J.2    Stewart, D.3
  • 11
    • 0002437983 scopus 로고    scopus 로고
    • Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
    • Barth T. J., Sethian J. A. Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains. J. Comput. Phys. 145:1998;1.
    • (1998) J. Comput. Phys. , vol.145 , pp. 1
    • Barth, T.J.1    Sethian, J.A.2
  • 12
    • 34250082434 scopus 로고
    • The Michell layout problem as a low volume fraction limit of the homogenization method for topology design: An asymptotic study
    • Bendsøe M. P., Haber R. The Michell layout problem as a low volume fraction limit of the homogenization method for topology design: An asymptotic study. J. Struct. Optimization. 6:1993;263.
    • (1993) J. Struct. Optimization , vol.6 , pp. 263
    • Bendsøe, M.P.1    Haber, R.2
  • 15
  • 17
    • 0032608183 scopus 로고    scopus 로고
    • Direct numerical simulations of three-dimensional bubbly flows
    • Bunner B., Tryggvason G. Direct numerical simulations of three-dimensional bubbly flows. Phys. Fluids. 11:1999;1967.
    • (1999) Phys. Fluids , vol.11 , pp. 1967
    • Bunner, B.1    Tryggvason, G.2
  • 18
    • 34249767150 scopus 로고
    • A geometric model for active contours in image processing
    • Caselles V., Catte F., Coll T., Dibos F. A geometric model for active contours in image processing. Numer. Math. 66:1993;1.
    • (1993) Numer. Math. , vol.66 , pp. 1
    • Caselles, V.1    Catte, F.2    Coll, T.3    Dibos, F.4
  • 19
    • 0030584607 scopus 로고    scopus 로고
    • A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
    • Chang Y. C., Hou T. Y., Merriman B., Osher S. J. A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. J. Comput. Phys. 124:1996;449.
    • (1996) J. Comput. Phys. , vol.124 , pp. 449
    • Chang, Y.C.1    Hou, T.Y.2    Merriman, B.3    Osher, S.J.4
  • 22
    • 0002875807 scopus 로고
    • Computing minimal surfaces via level set curvature flow
    • Chopp D. L. Computing minimal surfaces via level set curvature flow. J. Comput. Phys. 106:1993;77.
    • (1993) J. Comput. Phys. , vol.106 , pp. 77
    • Chopp, D.L.1
  • 23
    • 0002429959 scopus 로고
    • Numerical computation of self-similar solutions for mean curvature flow
    • Chopp D. L. Numerical computation of self-similar solutions for mean curvature flow. J. Exp. Math. 3:1994;1.
    • (1994) J. Exp. Math. , vol.3 , pp. 1
    • Chopp, D.L.1
  • 24
    • 5844314992 scopus 로고
    • Flow under curvature: Singularity formation, minimal surfaces, and geodesics
    • Chopp D. L., Sethian J. A. Flow under curvature: Singularity formation, minimal surfaces, and geodesics. J. Exp. Math. 2:1993;235.
    • (1993) J. Exp. Math. , vol.2 , pp. 235
    • Chopp, D.L.1    Sethian, J.A.2
  • 25
  • 27
    • 84966245867 scopus 로고
    • Two approximations of solutions of Hamilton-Jacobi equations
    • Crandall M. G., Lions P. L. Two approximations of solutions of Hamilton-Jacobi equations. Math. Comp. 167:1984;1.
    • (1984) Math. Comp. , vol.167 , pp. 1
    • Crandall, M.G.1    Lions, P.L.2
  • 28
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton-Jacobi equations
    • Crandall M. G., Lions P.-L. Viscosity solutions of Hamilton-Jacobi equations. Trans. Am. Math. Sci. 277:1983;1.
    • (1983) Trans. Am. Math. Sci. , vol.277 , pp. 1
    • Crandall, M.G.1    Lions, P.-L.2
  • 29
    • 34147120474 scopus 로고
    • A note on two problems in connection with graphs
    • Dijkstra E. W. A note on two problems in connection with graphs. Numer. Math. 1:1959;269.
    • (1959) Numer. Math. , vol.1 , pp. 269
    • Dijkstra, E.W.1
  • 30
    • 0032307143 scopus 로고    scopus 로고
    • Direct numerical simulations of bubbly flows. I. Low Reynolds number arrays
    • Esmaeeli A., Tryggvason G. Direct numerical simulations of bubbly flows. I. Low Reynolds number arrays. J. Fluid Mech. 377:1998;313.
    • (1998) J. Fluid Mech. , vol.377 , pp. 313
    • Esmaeeli, A.1    Tryggvason, G.2
  • 31
    • 0032682394 scopus 로고    scopus 로고
    • Direct numerical simulations of bubbly flows. II. Moderate Reynolds number arrays
    • Esmaeeli A., Tryggvason G. Direct numerical simulations of bubbly flows. II. Moderate Reynolds number arrays. J. Fluid Mech. 385:1999;325.
    • (1999) J. Fluid Mech. , vol.385 , pp. 325
    • Esmaeeli, A.1    Tryggvason, G.2
  • 32
    • 0000625475 scopus 로고    scopus 로고
    • The ghost fluid method for deflagration and detonation discontinuities
    • Fedkiw R. P., Aslam T., Xu Shaojie. The ghost fluid method for deflagration and detonation discontinuities. J. Comput. Phys. 154:1999;393.
    • (1999) J. Comput. Phys. , vol.154 , pp. 393
    • Fedkiw, R.P.1    Aslam, T.2    Xu, S.3
  • 33
    • 0032682401 scopus 로고    scopus 로고
    • Two-phase modelling of a fluid mixing layer
    • Glimm J., Saltz D., Sharp D. H. Two-phase modelling of a fluid mixing layer. J. Fluid Mech. 378:1999;119.
    • (1999) J. Fluid Mech. , vol.378 , pp. 119
    • Glimm, J.1    Saltz, D.2    Sharp, D.H.3
  • 36
    • 0019367877 scopus 로고
    • Volume of Fluid (VOF) method for dynamics of free boundaries
    • Hirt C. W., Nicholls B. D. Volume of Fluid (VOF) method for dynamics of free boundaries. J. Comput. Phys. 39:1981;201.
    • (1981) J. Comput. Phys. , vol.39 , pp. 201
    • Hirt, C.W.1    Nicholls, B.D.2
  • 40
    • 0001140342 scopus 로고    scopus 로고
    • Fast marching methods on triangulated domains
    • Kimmel R., Sethian J. A. Fast marching methods on triangulated domains. Proc. Natl. Acad. Sci. 95:1998;8341.
    • (1998) Proc. Natl. Acad. Sci. , vol.95 , pp. 8341
    • Kimmel, R.1    Sethian, J.A.2
  • 41
    • 85190088003 scopus 로고    scopus 로고
    • Fast Voronoi diagrams and offsets on triangulated surfaces
    • edited by, P. Laurent, P. Sablonniere, and L. Schumaker, Vanderbilt Press, to appear
    • R. Kimmel, and, J. A. Sethian, Fast Voronoi diagrams and offsets on triangulated surfaces, in, Proceedings, AFA Conference on Curves and Surfaces: Curve and Surface Design, edited by, P. Laurent, P. Sablonniere, and L. Schumaker, Vanderbilt Press, 2001, to appear.
    • (2001) In, Proceedings, AFA Conference on Curves and Surfaces: Curve and Surface Design
    • Kimmel, R.1    Sethian, J.A.2
  • 42
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • LeVeque R. J., Li Z. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 13:1994;1019.
    • (1994) SIAM J. Numer. Anal. , vol.13 , pp. 1019
    • Leveque, R.J.1    Li, Z.2
  • 43
    • 0000641836 scopus 로고    scopus 로고
    • A fast iterative algorithm for elliptic interface problems
    • Li Z. A fast iterative algorithm for elliptic interface problems. SIAM J. Numer. Anal. 35:1998;230.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 230
    • Li, Z.1
  • 44
    • 0027471113 scopus 로고
    • Study of three-dimensional Rayleigh-Taylor instability in compressible fluids through level set method and parallel computation
    • Li X. L. Study of three-dimensional Rayleigh-Taylor instability in compressible fluids through level set method and parallel computation. Phys. Fluids A. 5:1993;1904.
    • (1993) Phys. Fluids a , vol.5 , pp. 1904
    • Li, X.L.1
  • 45
    • 33745257208 scopus 로고
    • Marching cubes: A high resolution 3D surface construction algorithm
    • Lorenson W. E., Cline H. E. Marching cubes: A high resolution 3D surface construction algorithm. Comput. Graphics. 21:1987;4.
    • (1987) Comput. Graphics , vol.21 , pp. 4
    • Lorenson, W.E.1    Cline, H.E.2
  • 47
    • 0029118131 scopus 로고
    • Image processing via level set curvature flow
    • Malladi R., Sethian J. A. Image processing via level set curvature flow. Proc. Natl. Acad. Sci. 92:1995;7046.
    • (1995) Proc. Natl. Acad. Sci. , vol.92 , pp. 7046
    • Malladi, R.1    Sethian, J.A.2
  • 48
    • 0030288435 scopus 로고    scopus 로고
    • A unified approach to noise removal, image enhancement, and shape recovery
    • Malladi R., Sethian J. A. A unified approach to noise removal, image enhancement, and shape recovery. IEEE Trans. Image Process. 5:1996;1554.
    • (1996) IEEE Trans. Image Process , vol.5 , pp. 1554
    • Malladi, R.1    Sethian, J.A.2
  • 49
    • 0029792917 scopus 로고    scopus 로고
    • An O(N log N) algorithm for shape modeling
    • Malladi R., Sethian J. A. An O(N log N) algorithm for shape modeling. Proc. Natl. Acad. Sci. 93:1996;9389.
    • (1996) Proc. Natl. Acad. Sci. , vol.93 , pp. 9389
    • Malladi, R.1    Sethian, J.A.2
  • 52
    • 0000300747 scopus 로고
    • Motion of multiple junctions: A level set approach
    • Merriman B., Bence J., Osher S. J. Motion of multiple junctions: A level set approach. J. Comput. Phys. 112:1994;334.
    • (1994) J. Comput. Phys. , vol.112 , pp. 334
    • Merriman, B.1    Bence, J.2    Osher, S.J.3
  • 54
    • 0000930479 scopus 로고
    • Computing interface motion in compressible gas dynamics
    • Mulder W., Osher S. J., Sethian J. A. Computing interface motion in compressible gas dynamics. J. Comput. Phys. 100:1992;209.
    • (1992) J. Comput. Phys. , vol.100 , pp. 209
    • Mulder, W.1    Osher, S.J.2    Sethian, J.A.3
  • 55
    • 0001093433 scopus 로고
    • A simple line interface calculation
    • edited by, A. I. van de Vooran and P. J. Zandberger, Springer-Verlag, Berlin/New York
    • W. Noh, and, P. Woodward, A simple line interface calculation, in, Proceedings, Fifth International Conference on Fluid Dynamics, edited by, A. I. van de Vooran and P. J. Zandberger, Springer-Verlag, Berlin/New York, 1976.
    • (1976) In, Proceedings, Fifth International Conference on Fluid Dynamics
    • Noh, W.1    Woodward, P.2
  • 56
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher S., Sethian J. A. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79:1988;12.
    • (1988) J. Comput. Phys. , vol.79 , pp. 12
    • Osher, S.1    Sethian, J.A.2
  • 57
    • 0026204106 scopus 로고
    • High-order nonoscillatory schemes for Hamilton-Jacobi equations
    • Osher S., Shu C. High-order nonoscillatory schemes for Hamilton-Jacobi equations. J. Comput. Phys. 28:1991;907.
    • (1991) J. Comput. Phys. , vol.28 , pp. 907
    • Osher, S.1    Shu, C.2
  • 58
    • 0033618513 scopus 로고    scopus 로고
    • A front-tracking algorithm for accurate representation of surface tension
    • Popinet S., Zaleski S. A front-tracking algorithm for accurate representation of surface tension. Int. J. Numer. Meth. Fluids. 30:1999;775.
    • (1999) Int. J. Numer. Meth. Fluids , vol.30 , pp. 775
    • Popinet, S.1    Zaleski, S.2
  • 60
    • 0028255433 scopus 로고
    • Prestack depth migration by means of controlled illumination
    • Rietveld W. E. A., Berkhout A. J. Prestack depth migration by means of controlled illumination. Geophysics. 59:1994;801.
    • (1994) Geophysics , vol.59 , pp. 801
    • Rietveld, W.E.A.1    Berkhout, A.J.2
  • 64
    • 0026880997 scopus 로고
    • A viscosity solutions approach to Shape-From-Shading
    • Rouy E., Tourin A. A viscosity solutions approach to Shape-From-Shading. SIAM J. Numer. Anal. 29:1992;867.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 867
    • Rouy, E.1    Tourin, A.2
  • 65
    • 84996143735 scopus 로고    scopus 로고
    • A level set approach for inverse problems involving obstacles
    • Santosa F. A level set approach for inverse problems involving obstacles. ESIAM Control Optim. Calculus Var. 1:1996;17.
    • (1996) ESIAM Control Optim. Calculus Var. , vol.1 , pp. 17
    • Santosa, F.1
  • 66
    • 0029480784 scopus 로고
    • Robust and efficient upwind finite-difference traveltime calculations in three dimensions
    • Schneider W. A. Jr. Robust and efficient upwind finite-difference traveltime calculations in three dimensions. Geophysics. 60:1995;1108.
    • (1995) Geophysics , vol.60 , pp. 1108
    • Schneider W.A., Jr.1
  • 68
    • 85190162912 scopus 로고    scopus 로고
    • edited by, R. Mallad, Springer-Verlag, Berlin/New York
    • A. Sarti, C. Ortiz, S. Lockett, and, R. Malladi, A Unified Geometric Model for 3D Confocal Image Analysis in Cytology, LBL Report (Lawrence Berkeley National Laboratory, University of California, May, 1998), in, Geometric Methods in Biomedical Image Processing, edited by, R. Mallad, Springer-Verlag, Berlin/New York, 2001.
    • (2001) In, Geometric Methods in Biomedical Image Processing
  • 70
    • 34250118137 scopus 로고
    • Curvature and the evolution of fronts
    • Sethian J. A. Curvature and the evolution of fronts. Commun. Math. Phys. 101:1985;487.
    • (1985) Commun. Math. Phys. , vol.101 , pp. 487
    • Sethian, J.A.1
  • 71
    • 0003325651 scopus 로고
    • Numerical methods for propagating fronts
    • edited by, P. Concus and R. Finn, Springer-Verlag, New York
    • J. A. Sethian, Numerical methods for propagating fronts, in, Variational Methods for Free Surface Interfaces, edited by, P. Concus and R. Finn, Springer-Verlag, New York, 1987.
    • (1987) In, Variational Methods for Free Surface Interfaces
    • Sethian, J.A.1
  • 73
    • 84972535294 scopus 로고
    • Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws
    • Sethian J. A. Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws. J. Diff. Geom. 31:1990;131.
    • (1990) J. Diff. Geom. , vol.31 , pp. 131
    • Sethian, J.A.1
  • 74
    • 0000528951 scopus 로고
    • Curvature flow and entropy conditions applied to grid generation
    • Sethian J. A. Curvature flow and entropy conditions applied to grid generation. J. Comput. Phys. 115:1994;440.
    • (1994) J. Comput. Phys. , vol.115 , pp. 440
    • Sethian, J.A.1
  • 75
    • 0009011859 scopus 로고
    • Algorithms for tracking interfaces in CFD and material science
    • Sethian J. A. Algorithms for tracking interfaces in CFD and material science. Annu. Rev. Comput. Fluid Mech. 1995.
    • (1995) Annu. Rev. Comput. Fluid Mech.
    • Sethian, J.A.1
  • 76
    • 0029966538 scopus 로고    scopus 로고
    • A fast marching level set method for monotonically advancing fronts
    • Sethian J. A. A fast marching level set method for monotonically advancing fronts. Proc. Natl. Acad. Sci. 93:1996;1591.
    • (1996) Proc. Natl. Acad. Sci. , vol.93 , pp. 1591
    • Sethian, J.A.1
  • 80
    • 0030789778 scopus 로고    scopus 로고
    • Tracking interfaces with level sets
    • Sethian J. A. Tracking interfaces with level sets. Am. Sci. 1997;254.
    • (1997) Am. Sci. , pp. 254
    • Sethian, J.A.1
  • 85
    • 0031077740 scopus 로고    scopus 로고
    • An overview of level set methods for etching, deposition, and lithography development
    • Sethian J. A., Adalsteinsson D. An overview of level set methods for etching, deposition, and lithography development. IEEE Trans. Semicond. Dev. 1996. 10:1997;167.
    • (1997) IEEE Trans. Semicond. Dev. 1996 , vol.10 , pp. 167
    • Sethian, J.A.1    Adalsteinsson, D.2
  • 86
    • 85054055932 scopus 로고    scopus 로고
    • Fast marching methods applied to computation of seismic travel times
    • Sethian J. A., Popovici M. Fast marching methods applied to computation of seismic travel times. Geophysics. 64:1999;2.
    • (1999) Geophysics , vol.64 , pp. 2
    • Sethian, J.A.1    Popovici, M.2
  • 87
    • 0000655661 scopus 로고
    • Crystal growth and dendritic solidification
    • Sethian J. A., Strain J. D. Crystal growth and dendritic solidification. J. Comput. Phys. 98:1992;231.
    • (1992) J. Comput. Phys. , vol.98 , pp. 231
    • Sethian, J.A.1    Strain, J.D.2
  • 88
    • 0034705102 scopus 로고    scopus 로고
    • Extensions to triangulated fast marching Methods
    • Sethian J. A., Vladimirsky A. Extensions to triangulated fast marching Methods. Proc. Natl. Acad. Sci. 97:2000;5699.
    • (2000) Proc. Natl. Acad. Sci. , vol.97 , pp. 5699
    • Sethian, J.A.1    Vladimirsky, A.2
  • 89
    • 0001176192 scopus 로고    scopus 로고
    • Structural and boundary design via level set and immersed interface methods
    • Sethian J. A., Wiegmann A. Structural and boundary design via level set and immersed interface methods. J. Comput. Phys. 163:2000;489.
    • (2000) J. Comput. Phys. , vol.163 , pp. 489
    • Sethian, J.A.1    Wiegmann, A.2
  • 90
    • 0032004666 scopus 로고    scopus 로고
    • Numerical simulation of film boiling near critical pressures with a level set method
    • Son G., Dhir V. K. Numerical simulation of film boiling near critical pressures with a level set method. J. Heat Transfer. 120:1998;183.
    • (1998) J. Heat Transfer , vol.120 , pp. 183
    • Son, G.1    Dhir, V.K.2
  • 92
    • 28144444111 scopus 로고
    • A level set method for computing solutions to incompressible two-phase flow
    • Sussman M., Smereka P., Osher S. J. A level set method for computing solutions to incompressible two-phase flow. J. Comput. Phys. 114:1994;146.
    • (1994) J. Comput. Phys. , vol.114 , pp. 146
    • Sussman, M.1    Smereka, P.2    Osher, S.J.3
  • 96
    • 0025920408 scopus 로고
    • Upwind finite-difference calculations of traveltimes
    • van Trier J., Symes W. W. Upwind finite-difference calculations of traveltimes. Geophysics. 56:1991;812.
    • (1991) Geophysics , vol.56 , pp. 812
    • Van Trier, J.1    Symes, W.W.2
  • 97
    • 0029373106 scopus 로고
    • Efficient algorithms for globally optimal trajectories
    • Tsitsiklis J. N. Efficient algorithms for globally optimal trajectories. IEEE Trans. Autom. Control. 40:1995;1528.
    • (1995) IEEE Trans. Autom. Control , vol.40 , pp. 1528
    • Tsitsiklis, J.N.1
  • 98
    • 0024266766 scopus 로고
    • Finite-difference calculation of travel times
    • Vidale J. Finite-difference calculation of travel times. Bull. Seismol. Soc. Am. 78:1988;2062.
    • (1988) Bull. Seismol. Soc. Am. , vol.78 , pp. 2062
    • Vidale, J.1
  • 99
    • 0000658927 scopus 로고
    • Finite-difference calculation of traveltimes in three dimensions
    • Vidale J. Finite-difference calculation of traveltimes in three dimensions. Geophysics. 55:1990;521.
    • (1990) Geophysics , vol.55 , pp. 521
    • Vidale, J.1
  • 101
    • 78649480024 scopus 로고    scopus 로고
    • The explicit-jump immersed interface method: Finite difference methods for PDE with piecewise smooth solutions
    • in press
    • A. Wiegmann, and, K. P. Bube, The explicit-jump immersed interface method: Finite difference methods for PDE with piecewise smooth solutions, SIAM J. Numer. Anal, in press.
    • SIAM J. Numer. Anal
    • Wiegmann, A.1    Bube, K.P.2
  • 103
    • 0032115296 scopus 로고    scopus 로고
    • A curvilinear level set formulation for highly deformable free surface problems with application to solidification
    • Zhang H., Zheng L. L., Prasad V., Hou T. A curvilinear level set formulation for highly deformable free surface problems with application to solidification. Numer. Heat Transfer B. 34:1997;1.
    • (1997) Numer. Heat Transfer B , vol.34 , pp. 1
    • Zhang, H.1    Zheng, L.L.2    Prasad, V.3    Hou, T.4
  • 104
  • 105
    • 0001474149 scopus 로고    scopus 로고
    • Capturing the behaviour of bubbles and drops using the variational level set approach
    • Zhao H.-K., Merriman B., Osher S., Wang L. Capturing the behaviour of bubbles and drops using the variational level set approach. J. Comput. Phys. 143:1998;495.
    • (1998) J. Comput. Phys. , vol.143 , pp. 495
    • Zhao, H.-K.1    Merriman, B.2    Osher, S.3    Wang, L.4
  • 106
    • 84963385962 scopus 로고
    • Simulation of front propagation at large non-dimensional flow disturbance intensities
    • Zhu J., Ronney P. D. Simulation of front propagation at large non-dimensional flow disturbance intensities. Combust. Sci. Technol. 100:1995;183.
    • (1995) Combust. Sci. Technol. , vol.100 , pp. 183
    • Zhu, J.1    Ronney, P.D.2
  • 107
    • 0000085713 scopus 로고
    • Projection methods coupled to level set interface techniques
    • Zhu J., Sethian J. A. Projection methods coupled to level set interface techniques. J. Comput. Phys. 102:1992;128.
    • (1992) J. Comput. Phys. , vol.102 , pp. 128
    • Zhu, J.1    Sethian, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.